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Finding the Fourth Proportional to 489,757.86, 675,828.80 and 274,856.42

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Solution

The fourth proportional to 489,757.86, 675,828.80 and 274,856.42 is: 379,281.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,757.86 : 675,828.80 = 274,856.42 : x
  2. Step 2: Convert to fraction form
    489,757.86/675,828.80 = 274,856.42/x
  3. Step 3: Cross multiply
    489,757.86x = 675,828.80 × 274,856.42
  4. Step 4: Simplify right side
    489,757.86x = 185,755,879,747.47
  5. Step 5: Solve for x
    x = 185,755,879,747.47/489,757.86
  6. Step 6: Final answer
    x = 379,281.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.